Online GCD Calculator is useful to find the GCD of 135, 580, 34, 696 quickly. Get the easiest ways to solve the greatest common divisor of 135, 580, 34, 696 i.e 1 in different methods as follows.
Given Input numbers are 135, 580, 34, 696
In the factoring method, we have to find the divisors of all numbers
Divisors of 135 :
The positive integer divisors of 135 that completely divides 135 are.
1, 3, 5, 9, 15, 27, 45, 135
Divisors of 580 :
The positive integer divisors of 580 that completely divides 580 are.
1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
Divisors of 34 :
The positive integer divisors of 34 that completely divides 34 are.
1, 2, 17, 34
Divisors of 696 :
The positive integer divisors of 696 that completely divides 696 are.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
GCD of numbers is the greatest common divisor
So, the GCD (135, 580, 34, 696) = 1.
Given numbers are 135, 580, 34, 696
The list of prime factors of all numbers are
Prime factors of 135 are 3 x 3 x 3 x 5
Prime factors of 580 are 2 x 2 x 5 x 29
Prime factors of 34 are 2 x 17
Prime factors of 696 are 2 x 2 x 2 x 3 x 29
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 135, 580, 34, 696
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(135, 580) = 15660
GCD(135, 580) = ( 135 x 580 ) / 15660
= 135 / 580
= 135
Step2:
LCM(5, 34) = 170
GCD(5, 34) = ( 5 x 34 ) / 170
= 5 / 34
= 5
Step3:
LCM(1, 696) = 696
GCD(1, 696) = ( 1 x 696 ) / 696
= 1 / 696
= 1
So, Greatest Common Divisor of 135, 580, 34, 696 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 135, 580, 34, 696
The greatest common divisor of numbers 135, 580, 34, 696 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 580, 34, 696 is 1.
1. What is the GCD of 135, 580, 34, 696?
GCD of given numbers 135, 580, 34, 696 is 1
2. How to calculate the greatest common divisor of 135, 580, 34, 696?
We can find the highest common divisor of 135, 580, 34, 696 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 135, 580, 34, 696 i.e 1.
3. How can I use the GCD of 135, 580, 34, 696Calculator?
Out the numbers 135, 580, 34, 696 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.